1.4x-0.8(13-5x)=-0.7(x-7)

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Solution for 1.4x-0.8(13-5x)=-0.7(x-7) equation: 


Simplifying
1.4x + -0.8(13 + -5x) = -0.7(x + -7)
1.4x + (13 * -0.8 + -5x * -0.8) = -0.7(x + -7)
1.4x + (-10.4 + 4x) = -0.7(x + -7)

Reorder the terms:
-10.4 + 1.4x + 4x = -0.7(x + -7)

Combine like terms: 1.4x + 4x = 5.4x
-10.4 + 5.4x = -0.7(x + -7)

Reorder the terms:
-10.4 + 5.4x = -0.7(-7 + x)
-10.4 + 5.4x = (-7 * -0.7 + x * -0.7)
-10.4 + 5.4x = (4.9 + -0.7x)

Solving
-10.4 + 5.4x = 4.9 + -0.7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7x' to each side of the equation.
-10.4 + 5.4x + 0.7x = 4.9 + -0.7x + 0.7x

Combine like terms: 5.4x + 0.7x = 6.1x
-10.4 + 6.1x = 4.9 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-10.4 + 6.1x = 4.9 + 0.0
-10.4 + 6.1x = 4.9

Add '10.4' to each side of the equation.
-10.4 + 10.4 + 6.1x = 4.9 + 10.4

Combine like terms: -10.4 + 10.4 = 0.0
0.0 + 6.1x = 4.9 + 10.4
6.1x = 4.9 + 10.4

Combine like terms: 4.9 + 10.4 = 15.3
6.1x = 15.3

Divide each side by '6.1'.
x = 2.508196721

Simplifying
x = 2.508196721

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